Negative travel speed

I noticed there's a dead soul issue: if all the guys from a division died, but the whole army survived, system still regards as if there is someone left in the division (at least 1 unit, not sure if it depends on intial number of troops). I noticed it when added t1 troops (axemen) to the division that previously had t2 troops (stalwarts) all KIA - the actual spped of the division would still be the speed of t2 (stalwarts, slower one), though there were no slow units left. And I know the division gets slight attack bonus too by that "dead soul".

To fix the issue, one needs to either delete the division and create a new one, or to assign 1 unit of the 'missing' type and remove it back again. The reason I'm telling all that story is that it looks like those "dead souls" keep equipement bonuses too. I hardly equip troops so can't say anything more here.